Volume 10, Issue Supplement 2, December 2003, Pages 209 - 222
Discrete KP Equation and Momentum Mapping of Toda System
Authors
Vincenzo Sciacca
Corresponding Author
Vincenzo Sciacca
Available Online 1 December 2003.
- DOI
- 10.2991/jnmp.2003.10.s2.18How to use a DOI?
- Abstract
A new approach to discrete KP equation is considered, starting from the GelfanZakhharevich theory for the research of Casimir function for Toda Poisson pencil. The link between the usual approach through the use of discrete Lax operators, is emphsized. We show that these two different formulations of the discrete KP equation are equivalent and they are different representations of the same equations. The relation between the two approaches to the KP equation is obtained by a change of frame in the space Ln of upper truncated Laurent series and translated into the space Dn of shift operators.
- Copyright
- © 2006, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Vincenzo Sciacca PY - 2003 DA - 2003/12/01 TI - Discrete KP Equation and Momentum Mapping of Toda System JO - Journal of Nonlinear Mathematical Physics SP - 209 EP - 222 VL - 10 IS - Supplement 2 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2003.10.s2.18 DO - 10.2991/jnmp.2003.10.s2.18 ID - Sciacca2003 ER -